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Finding the Fourth Proportional to 180,698.20, 270,939.30 and 110,627.80

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Solution

The fourth proportional to 180,698.20, 270,939.30 and 110,627.80 is: 165,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,698.20 : 270,939.30 = 110,627.80 : x
  2. Step 2: Convert to fraction form
    180,698.20/270,939.30 = 110,627.80/x
  3. Step 3: Cross multiply
    180,698.20x = 270,939.30 × 110,627.80
  4. Step 4: Simplify right side
    180,698.20x = 29,973,418,692.54
  5. Step 5: Solve for x
    x = 29,973,418,692.54/180,698.20
  6. Step 6: Final answer
    x = 165,875.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.